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Simplifying 5(-2x + 6) = 5(6x + 5) Reorder the terms: 5(6 + -2x) = 5(6x + 5) (6 * 5 + -2x * 5) = 5(6x + 5) (30 + -10x) = 5(6x + 5) Reorder the terms: 30 + -10x = 5(5 + 6x) 30 + -10x = (5 * 5 + 6x * 5) 30 + -10x = (25 + 30x) Solving 30 + -10x = 25 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 30 + -10x + -30x = 25 + 30x + -30x Combine like terms: -10x + -30x = -40x 30 + -40x = 25 + 30x + -30x Combine like terms: 30x + -30x = 0 30 + -40x = 25 + 0 30 + -40x = 25 Add '-30' to each side of the equation. 30 + -30 + -40x = 25 + -30 Combine like terms: 30 + -30 = 0 0 + -40x = 25 + -30 -40x = 25 + -30 Combine like terms: 25 + -30 = -5 -40x = -5 Divide each side by '-40'. x = 0.125 Simplifying x = 0.125
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